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Chin. Phys. B, 2011, Vol. 20(6): 060301    DOI: 10.1088/1674-1056/20/6/060301
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The relation between Hardy's non-locality and violation of Bell inequality

Xiang Yang (向阳)
School of Physics and Electronics, Henan University, Kaifeng 475001, China
Abstract  We give an analytic quantitative relation between Hardy's non-locality and Bell operator. We find that Hardy's non-locality is a sufficient condition for the violation of Bell inequality, the upper bound of Hardy's non-locality allowed by information causality just corresponds to Tsirelson bound of Bell inequality and the upper bound of Hardy's non-locality allowed by the principle of no-signaling just corresponds to the algebraic maximum of Bell operator. Then we study the Cabello's argument of Hardy's non-locality (a generalization of Hardy's argument) and find a similar relation between it and violation of Bell inequality. Finally, we give a simple derivation of the bound of Hardy's non-locality under the constraint of information causality with the aid of the above derived relation between Hardy's non-locality and Bell operator.
Keywords:  Hardy's non-locality      Bell inequality      information causality  
Received:  20 September 2010      Revised:  30 March 2011      Accepted manuscript online: 
PACS:  03.65.Ud (Entanglement and quantum nonlocality)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10947142 and 11005031).

Cite this article: 

Xiang Yang (向阳) The relation between Hardy's non-locality and violation of Bell inequality 2011 Chin. Phys. B 20 060301

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